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Finding the Third Proportional to 62,350 and 133,454

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Solution

The third proportional to 62,350 and 133,454 is: 285,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,350 : 133,454 = 133,454 : x
  2. Step 2: Convert to fraction form
    62,350/133,454 = 133,454/x
  3. Step 3: Cross multiply
    62,350x = 133,454 × 133,454
  4. Step 4: Simplify right side
    62,350x = 17,809,970,116
  5. Step 5: Solve for x
    x = 17,809,970,116/62,350
  6. Step 6: Final answer
    x = 285,645.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.